Word Problems with Equations
A teacher is organizing a science project. The total number of materials used for the project is 48, which includes a certain number of base kits and 4 additional items for each base kit. There are 8 base kits used in the project. The equation that models this situation is:
8(b+4)=48
How many additional items are included with each base kit?
2 items
Allie made cupcakes! She has 3 friends she wants to give them to. She made 6 cupcakes in total and is wanting to split the cupcakes evenly among her friends. How many cupcakes does each friend get?
x = 2
Mr. Thompson needs 8.4 liters of paint to finish a room. The paint store sells paint in 0.6-liter cans. How many cans does Mr. Thompson need to buy?
14 cans
2(x-5)
2x - 10
2x + 3x
5x
x + 1 = 5
x = 4
The community center is organizing a fundraising event. The total cost for the event is $200, which includes a participation fee of $y and a $5 snack fee for each participant. There are 40 participants expected at the event. The equation that models this situation is:
40(y+4)=200
What is the participation fee for each participant?
$1
x = 4
Mr. Lewis has $275.50 in his bank account. He uses that money to purchase new equipment for his workshop. He buys a new drill for $85.45, a set of screws for $12.99, and a toolbox for $34.75.
How much money does Mr. Lewis have left in his bank account after making his purchases?
$142.31
⅓ (x+3)
12x - 5x
7x
2x = 10
x = 5
A local school is planning a field trip. The total cost for the trip is $450, which includes a trip fee of $z and a $12 transportation fee for each student. There are 30 students going on the trip. The equation that models this situation is:
30(z+12)=450
What is the trip fee for each student?
$3
The perimeter of a regular 7 sided shape is 91 units, and the length of each side is 3x - 7. What is the value of x?
x = 2
One square table has 2 seats on every side.
A second identical square table will be added to create a longer rectangular table.
Which expression reveals the number of chairs along each side of the longer rectangular table?
A. 2(3) + 2(3)
B. 2(1) + 2(3)
C. 4(2) + 3(2)
D. 2(2) + 2(4)
D
-2(5-x)
-10 + 2x
2x + 6x + 8 - 5
8x + 3
3x + 7 = 28
x = 7
A fitness center is holding a special class. The total revenue from the class is $175.00, which includes a class fee of $w and a $3.75 material fee for each participant. There are 20 participants signed up for the class. The equation that models this situation is:
20(w+3.75)=175.00
What is the class fee for each participant?
$5
Tod and Copper have a total of $50 to spend at a festival. The entry fee is $5 per person, and it costs $1 dollar per game for each person.
What is the maximum number of games Tod and Copper can play each?
20 games
Ms. Johnson needs 3 ¼ gallons of water for her garden. The garden supply store sells water in 0.5 gallon containers. How many containers does Ms. Johnson need to buy?
6.5 containers
⅖ (x-10)
2/5x - 4
5y + 2 + 4x
3( 2x + 4 ) = 30
x = 3
A local bakery is hosting a cupcake decorating class. The total revenue from the class is $132.00, which includes a class fee of $k and a $4.20 supply fee for each participant. There are 25 participants in the class. The equation that models this situation is:
25(k+4.20)=132.00
What is the class fee for each participant?
$1.08
Fred and 3 friends want to go to a aquarium together. They have a total of $200 to spend there. The entry fee is $20 per person, and it costs $4 per hour for one person to be at the aquarium.
What is the maximum amount time Fred and his friends can be at the aquarium?
7.5 hours
Two identical square tables are combined to create a rectangular table, with 4 on the ends and 3 on the sides.
A 3 identical square table will be added to create a longer rectangular table.
Which expression reveals the number of chairs along each side of the longer rectangular table?
2(4) + 2(9)
¾(-8+4)
3(x - 2) + 9 + 7x + y
10x + 3 + y
8 (5x - 6 ) = 72
x = 3